| Title of paper:
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Intuitionistic fuzzy level operators related to the degree of uncertainty
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| Author(s):
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| Krassimir Atanassov
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Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
Intelligent Systems Laboratory, Prof. Dr. Asen Zlatarov University, 1 Prof. Yakimov Blvd., 8010 Burgas, Bulgaria
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| krat@bas.bg
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| Presented at:
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Proceedings of the International Workshop on Intuitionistic Fuzzy Sets, 15 December 2023, Banská Bystrica, Slovakia
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 4, pages 325–334
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| DOI:
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https://doi.org/10.7546/nifs.2023.29.4.325-334
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| Download:
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 PDF (277 Kb, File info)
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| Abstract:
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Two new intuitionistic fuzzy operators of level type are introduced and some of their properties are studied. They are related to the degree of uncertainty of a given intuitionistic fuzzy set. Geometrical interpretations onto the intuitionistic fuzzy interpretation triangle are provided.
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| Keywords:
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Intuitionistic fuzzy set, Level operator, Uncertainty.
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| AMS Classification:
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03E72.
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| References:
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- Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
- Atanassov K., Mavrov, D., & Atanassova, V. (2014). Intercriteria Decision Making: A New Approach for Multicriteria Decision Making, Based on Index Matrices and Intuitionistic Fuzzy Sets. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 11, 1–8.
- Atanassova, V. (2017). New Modified Level Operator N>sub>γ Over Intuitionistic Fuzzy Sets. In: Flexible Query Answering Systems. FQAS 2017. (Christiansen, H., Jaudoin, H., Chountas, P., Andreasen, T., Legind Larsen, H. (eds)). Lecture Notes in Computer Science, vol 10333. Springer, Cham. https://doi.org/10.1007/978-3-319-59692-1 18.
- Atanassova, V. (2018). Modified level operator Nγ1γ2 applied over interval-valued intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 24(4), 29–39.
- Chorukova, E., Marinov, P., & Umlenski, I. (2020). Survey on Theory and Applications of InterCriteria Analysis Approach. In:- Research in Computer Science in Bulgarian Academy of Sciences (K. Atanassov, Ed.), Springer, Cham, 453–469.
- Todorova, L., & Vassilev, P. (2009). A note on a geometric interpretation of the intuitionistic fuzzy set operators Pα,β and Qα,β. Notes on Intuitionistic Fuzzy Sets, 15(4), 25–29.
- Vassilev, P. (2013). On intuitionistic fuzzy subsets with diminishing hesitancy values. Notes on Intuitionistic Fuzzy Sets, 19(3), 47–50.
- Vassilev, P., & Stoyanov, T. (2014). Note on isohesitant intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 20(2), 27–30
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